Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6
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Answer:

2

Step-by-step explanation:

3(5y+3) = 39

15y+9 = 39

15y=30

y=2

Answer:

the answear is C because if you multiply the last two boxes you get 24

Answer:

option 4 {-11, -5, 1}

Step-by-step explanation:

range: set of output

f(-2)=3(-2)-5=-11

f(0)=3(0)-5=-5

f(2)=3(2)-5=1

Solution :

A). As the time passes the temperature of the coffee tends to acquire the temperature of the room, so the limiting value of the temperature of the coffee is 20°C. i.e.

[tex]$\lim_{t \to \infty} T(t)=20$[/tex]

B). And limiting value of rate of cooling is given by :

[tex]$\lim_{t \to \infty} \ \frac{dT}{dt} =\lim_{t \to \infty} \ [k(T-T_{room})] $[/tex]

              [tex]$=k . \lim_{t \to \infty} (T-T_{room})$[/tex]

              [tex]$=k .[ \lim_{t \to \infty} T-\lim_{t \to \infty} T_{room}]$[/tex]

              [tex]$=k.[T_{room}-T_{room}]$[/tex]

              = k. 0

             = 0

C). Given, [tex]$\frac{dT}{dt} = -1, $[/tex] when T(t) = 70° using this in the given equation,

         -1 = k.(70-20)

         k = -0.02

D). By Euler method, we get

      [tex]$T_{n+1}=T_n + h \ f(t_n, T_n)$[/tex]

      [tex]$t_{n+1}=t_n +h$[/tex]

where, [tex]$f(t,T) =k(T-T_{room})$[/tex]

                       = -0.02(T - 20)

We have [tex]$T_0 = 90^\circ$[/tex]  at t = 0 and h = 2.

So [tex]$t_1 = 0+2 = 2$[/tex]

∴ [tex]$T_1=T_0 + h \ f(t_0,T_0)$[/tex]

       = 90+2[-0.02(90-20)]

       = 87.2

At [tex]$t_2 = 2+2 = 4$[/tex]

[tex]$T_2=T_1 + h \ f(t_1,T_1)$[/tex]

   = 87.2+2[-0.02(87.2-20)]

  = 84.51

At [tex]$t_3 = t_2+2 = 4+2=6$[/tex]

[tex]$T_3=T_2 + h \ f(t_2,T_2)$[/tex]

   = 84.51+2[-0.02(84.51-20)]

  = 81.93

At [tex]$t_4 = t_3+4 = 6+2=8$[/tex]

[tex]$T_4=T_3 + h \ f(t_4,T_4)$[/tex]

   = 81.93+2[-0.02(81.93-20)]

  = 79.45

At [tex]$t_5 = t_4+2 = 8+2=10$[/tex]

[tex]$T_5=T_4 + h \ f(t_4,T_4)$[/tex]

   = 79.45+2[-0.02(79.45-20)]

  = 77.07

So after 10 minutes, the temperature of the coffee will be 77.07°C.

Answer:

The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are

-1, -1/2, and 1. The terms that have an x are like terms.

Step-by-step explanation:hope this helps

Answer:

Step-by-step explanation:

Answer:

actually need the numericals but attached

Step-by-step explanation:

if we take it as 1 km then it would be

home to cafe = 1 km

cafe to school =

[tex] \frac{1}{2} [/tex]

so it will be 1 + 1/2 that is

[tex]1 \frac{1}{2} km[/tex]

ok mark me as brainlist

Answer:

0.1233 = 12.33% probability it purchased organic food

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Goes bankrupt

Event B: Purchase organic food.

Probability it goes bankrupt:

66% of 12%(purchases organic food)

64% of 88%(dont purchase organic food).

So

[tex]P(A) = 0.66*0.12 + 0.64*0.88 = 0.6424[/tex]

Intersection of A and B:

Bankrupt when purchases organic food. So

66% of 12%

[tex]P(A \cap B) = 0.66*0.12 = 0.0792[/tex]

When a restaurant goes bankrupt what is the probability it purchased organic food

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0792}{0.6424} = 0.1233[/tex]

0.1233 = 12.33% probability it purchased organic food

Answer:

Step-by-step explanation:

Given that:

P(Y) = ky

where;

y =1,2,...7

To find the value of c or k (constant)

[tex]\sum P(Y) = 1[/tex]

[tex]\sum \limits_{y \to 1}^7 k*y = 1[/tex]

= k(1+2+3+4+5+6+7) = 1

28k = 1

[tex]k = \dfrac{1}{28}[/tex]

b) The required probability is P ( X ≤ 3)

[tex]P(X \le 3) = \sum \limits^3_{y=1 } P(y)[/tex]

[tex]P(X \le 3) = \sum \limits^3_{y=1 } \dfrac{1}{28}(y)[/tex]

[tex]P(X \le 3) = \dfrac{1}{28} (1 +2+3)[/tex]

[tex]P(X \le 3) = \dfrac{6}{28}[/tex]

P ( X ≤ 3) = 0.2143

c) The required probability P(2 ≤ Y ≤ 4)

[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} P(Y)[/tex]

[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} \dfrac{1}{28}(Y)[/tex]

[tex]P(2 \le Y \le 4) = \dfrac{1}{28}(2+3+4)[/tex]

[tex]P(2 \le Y \le 4) = 0.3214[/tex]

d) The required probability:

[tex]P(X) = \dfrac{x^2}{50} ; \ \ \ \ where; \ x= 1,2,...5[/tex]

[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(x)^2[/tex]

[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(1+4+9+16+25)[/tex]

[tex]\sum \limits ^5_{y =1} P(Y)=1.1[/tex]

respuesta : 8 espero tesirba

Answer:

1. C

2. -8 (there are no choices for this)

3. (no question here)

4. -5 (there are no choices for this)

5. 25 (there are no choices for this)

6. D

Step-by-step explanation:

Answer:

i dot know

Step-by-step explanation:

The additional information would allow the triangles to be proven similar by AA is: C. ∠M ≅ ∠P.

The acronym, "AA" stands for "angle-angle". Thus, the AA similarity theorem is a triangle theorem that is used to prove that two triangles that have two pairs of corresponding congruent angles are similar to each other.

The figure given shows two triangles, triangle MNO and triangle PQR, which have a pair of corresponding congruent angles, angle MNO and angle PQR [both are congruent because they are right angles that are equal to angle 90 degrees.]

Thus, this is not enough to prove that both triangles are similar to each other by the AA similarity theorem.

In other to prove that both triangles are similar by AA, we need to be given or shown that both triangles also have another pair of corresponding congruent angles.

Thus, the additional information needed can be: C. ∠M ≅ ∠P.

Learn more about the AA similarity theorem on:

https://brainly.com/question/2166570

#SPJ1

Answer:

65

Step-by-step explanation:

the difference is 65 degrees fahrenheit

Answer:600

Step-by-step explanation:

Make the number 6 x 1000

Take 10% of the 1000

Now put the 6 and the 100 together

Answer: $2066

Step-by-step explanation:

Answer:

A polynomial is writen as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀

So we can only have positive integer exponents of x.

the coefficients "a" can be any real number.

Let's analyze the options:

1) Here we can see a term with "√x", remember that:

√x = (x)^(1/2)

This is not an integer exponent, then this is not a polynomial.

2) This is a polynomial.

3) Here we have the term "4/x"

This can be written as:

4/x = 4*x^(-1)

Then this is not a polynomial.

4) Here we have the term "5^x"

In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.

5) This is a polynomial.

6) Here we have the term " 2/x^2"

This can be written as:

2/x^2 = 2*x^(-2)

We have a negative exponent of x, then this is not a polynomial.

Answer:

81

Step-by-step explanation:

2

27

x 3

------

8 1

Answer:

81

Step-by-step explanation:

27 × 3

81

Answer:

1. 6 x 7/2 = 21

2. 6 x 10/3 = 20

3. 6 x 25/6 = 25

Step-by-step explanation:

Answer:

There are three intervals depending on  the mileage:

For each interval we have different cost and equation

Let miles = x, cost  = y, then the equations are:

Step-by-step explanation:0 - 15 miles

15 - 75 miles

More than 75 miles

For each interval we have different cost and equation

Let miles = x, cost  = y, then the equations are:

0 < x ≤ 15       ⇒ y = 3.95

15 < x ≤ 75     ⇒ y = 1.25x + 3.95

x > 75             ⇒ y = 0.85x + 78.95

Answer:

a)15=3+12=x

b)15=3x5=x

Step-by-step explanation:

hope this helps and if this is correct you can give brainliest if you want and if I am not correct tell me in the comments and I will fix it

Answer:

Read Explanation

Step-by-step explanation:

Hello I think I can help.

Lets go over A then work on B to see if me walking through it can help you understand better.

Lets use some real world stuff. Say that the big long rectangle with the 3 and the x in it is a big truck, driving down the road.

Now inside that truck we have a 3 and a X as it shows in the picture. And then on the outside of the truck it shows what we have total inside the truck which is 15.

Now 3 + x may not sound equal to 15 but its math and if you see the = sign between two things they are equal no matter how weird it may seems.

So inside the truck, the 3 + x is equal to the outside of the truck saying that inside it is 15.

Lets move onto the B and do the same thing using the truck.

Now inside the truck it is saying 3 multiplied by x this time. On the outside it is saying there is a total of 15 just like before.

It looks to me you don't even have to solve it as the model seems to already be solved. But lets explain it.

Just like the problem says, (15 = 3 times x) you can see the 3 times x in the truck by the 3 separate x's inside the truck. And on the outside you can see the 15, which is the total amount inside the truck. And we know this is true because in the equation it says 15 = 3 times x.

I am not sure if you have to solve these but we can go over that real quick as well since it is very simple.

To find what x is in these equations all you want to do is take the outside of the truck (which is 15) and divide it by the number we know (3), not the variable (which is x).

So if we do this :

(The outside of the truck or the one number on its own)

15

(Divide it by the other number we know of inside the truck, not the letter/variable)

3

And we get :

15/3 = 5

x = 5

And that is our answer and you can do the same thing to part A.

You can also check to see if you're right by doing the same thing but backwards.

This means we use multiplication and go right to left (5 and 3) instead of left to right like we did last time (15 and 3).

If we multiply the 5 and the 3 we get 15 which is the other number in the equation and proves we are correct!

I do hope this helps.

If you have any questions or concerns feel free to message me or comment! :)

Answer:

21.5

Step-by-step explanation:

(solve in parentheses first)

43/(7-3)x2

(43/4)x2

86/4

21.5

Answer:

[tex]21.5[/tex]

Step-by-step explanation:

First you have to simplify 7 - 4 to 3.

[tex]43 \div 4\times 2[/tex]

Then Simplify 43 ÷ 4 to 10.75.

[tex]10.75 \times 2[/tex]

And lastly, Simplify.

[tex]21.5[/tex]

Therefor, the answer is, 21.5.

Answer:

C = 14 x Pi

C = 14 x 3.14

C = 43.96 in

Answer:

Step-by-step explanation:

The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)

Answer:

Ok so you did the first box of statements and reasons correct. Now let us look at the second box of statements and reasons. There is also one more given statements and reasons and it is RS is congruent to TS. That is going to be a given one. Now if you look at the prove sections, it says to prove angle RSV is congruent to angle TSV. In the comments section let us find the answer together. I know the answers, but you give it a try too. I will give you a hint that the triangle is a AAS postulate (Angle-Angle-Side).

Answer:

a+51=90

a+51+90=180

39

Step-by-step explanation:

hope this helped :)